CPT and Lorentz Symmetry in Hydrogen and Antihydrogen

TL;DR

This paper explores potential signals of CPT and Lorentz violation in hydrogen and antihydrogen spectroscopy, highlighting a specific hyperfine transition that could reveal detectable effects without suppression by the fine-structure constant.

Contribution

It identifies a hyperfine transition in hydrogen and antihydrogen that could serve as a sensitive probe for CPT and Lorentz symmetry violations, surpassing previous methods.

Findings

Hyperfine transition in 1S state shows potential for detecting CPT/Lorentz violation.

Effects in this transition are not suppressed by powers of the fine-structure constant.

This transition could be more advantageous than 1S-2S spectroscopy for symmetry tests.

Abstract

Possibilities for observing signals of CPT and Lorentz violation in the spectroscopy of hydrogen and antihydrogen are considered. We show that transitions between the c and d hyperfine sublevels in the 1S state can exhibit theoretically detectable effects that would be unsuppressed by powers of the fine-structure constant. This transition may therefore offer some advantages over 1S-2S two-photon spectroscopy.